Hilbert-Kunz functions in a family: Point-\(S_4\) quartics

DOI10.1006/jabr.1998.7500zbMath0932.13010OpenAlexW4213270018MaRDI QIDQ1271125

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Publication date: 8 March 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7500

zbMATH Keywords

Hilbert-Kunz functionHilbert-Kunz multiplicityplane quartic

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Families, moduli of curves (algebraic) (14H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)

Related Items (15)

Equimultiplicity in Hilbert-Kunz theory ⋮ On semicontinuity of multiplicities in families ⋮ On the behaviour of strong semistability in geometric deformations ⋮ CONTINUITY OF HILBERT–KUNZ MULTIPLICITY AND F-SIGNATURE ⋮ Bertini theorems for \(F\)-signature and Hilbert-Kunz multiplicity ⋮ Associated Primes of the Example of Brenner and Monsky ⋮ Tight closure does not commute with localization ⋮ Semistability and Hilbert-Kunz multiplicities for curves ⋮ On the upper semi-continuity of the Hilbert-Kunz multiplicity ⋮ Lengths of tors determined by killing powers of ideals in a local ring. ⋮ Upper semi-continuity of the Hilbert–Kunz multiplicity ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Hilbert-Kunz functions in a family: Line-\(S_4\) quartics ⋮ The shape of Hilbert-Kunz functions ⋮ On the Hilbert-Kunz function of \(z^D-p_{4}(x,y)\)

Cites Work

• Hilbert-Kunz functions in a family: Line-\(S_4\) quartics
• Some surprising Hilbert-Kunz functions
• Hilbert-Kunz functions of cubic curves and surfaces
• The Hilbert-Kunz function of a characteristic 2 cubic
• The Hilbert-Kunz function

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